87105757 has 2 divisors, whose sum is σ = 87105758. Its totient is φ = 87105756.

The previous prime is 87105749. The next prime is 87105793. The reversal of 87105757 is 75750178.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78747876 + 8357881 = 8874^2 + 2891^2 .

It is a cyclic number.

It is not a de Polignac number, because 87105757 - 2³ = 87105749 is a prime.

It is equal to p_5058994 and since 87105757 and 5058994 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (87105727) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43552878 + 43552879.

It is an arithmetic number, because the mean of its divisors is an integer number (43552879).

Almost surely, 2^87105757 is an apocalyptic number.

It is an amenable number.

87105757 is a deficient number, since it is larger than the sum of its proper divisors (1).

87105757 is an equidigital number, since it uses as much as digits as its factorization.

87105757 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 68600, while the sum is 40.

The square root of 87105757 is about 9333.0465015449. The cubic root of 87105757 is about 443.2842351768.

The spelling of 87105757 in words is "eighty-seven million, one hundred five thousand, seven hundred fifty-seven".